document.write( "Question 863933: The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number. \n" ); document.write( "

Algebra.Com's Answer #520710 by mananth(16946) $\"\"$ $\"About$

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The units of the digits of a two-digit number is 1 less than 3 times the tens digit. If the digits are reversed, the new number is 45 more than the original number. Find the number.\r
\n" ); document.write( "\n" ); document.write( "let units be y
\n" ); document.write( "and tens be x
\n" ); document.write( "Number is written as xy
\n" ); document.write( "y=3x-1................(1)\r
\n" ); document.write( "\n" ); document.write( "10y+x = 10x+y+45\r
\n" ); document.write( "\n" ); document.write( "9y-9x=45
\n" ); document.write( "/9
\n" ); document.write( "y-x=5...................(2)
\n" ); document.write( "substitute y
\n" ); document.write( "3x-1-x=5
\n" ); document.write( "2x-1=5
\n" ); document.write( "2x=6
\n" ); document.write( "/2
\n" ); document.write( "x=3\r
\n" ); document.write( "\n" ); document.write( "y-x=5
\n" ); document.write( "plugx
\n" ); document.write( "y-3=5
\n" ); document.write( "y=5+3
\n" ); document.write( "y=8\r
\n" ); document.write( "\n" ); document.write( "The number is 38 \n" ); document.write( "

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